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Finding the Fourth Proportional to 932.25, 1,286.32 and 633.73

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Solution

The fourth proportional to 932.25, 1,286.32 and 633.73 is: 874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.25 : 1,286.32 = 633.73 : x
  2. Step 2: Convert to fraction form
    932.25/1,286.32 = 633.73/x
  3. Step 3: Cross multiply
    932.25x = 1,286.32 × 633.73
  4. Step 4: Simplify right side
    932.25x = 815,179.57
  5. Step 5: Solve for x
    x = 815,179.57/932.25
  6. Step 6: Final answer
    x = 874.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.